A resonance problem for non-local elliptic operators

DOI10.4171/ZAA/1492zbMath1278.49009MaRDI QIDQ380259

Alessio Fiscella, Raffaella Servadei, Enrico Valdinoci

Publication date: 13 November 2013

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Palais-Smale conditionsaddle point theoremvariational techniquesfractional Laplacianintegrodifferential operators

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence of solutions for minimax problems (49J35) Boundary value problems for PDEs with pseudodifferential operators (35S15) Singular nonlinear integral equations (45G05) Integro-differential operators (47G20)

Related Items (27)

Infinitely many solutions for fractional Laplacian problems with local growth conditions ⋮ Generalized solutions for nonlocal elliptic equations and systems with nonlinear singularities ⋮ Application of mountain pass theorem to superlinear equations with fractional Laplacian controlled by distributed parameters and boundary data ⋮ On nonlinear perturbations of a periodic integrodifferential equation with critical exponential growth ⋮ An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems ⋮ Existence theorems for fractional p-Laplacian problems ⋮ Orbital stability of standing waves of a class of fractional Schrödinger equations with Hartree-type nonlinearity ⋮ A pseudo-index approach to fractional equations ⋮ Solvability of a nonlocal fractional \(p\)-Kirchhoff type problem ⋮ Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities ⋮ Existence of weak solutions for non-local fractional problems via Morse theory ⋮ Multiplicity results for elliptic fractional equations with subcritical term ⋮ Bounded resonant problems driven by fractional Laplacian ⋮ Asymptotically linear fractional \(p\)-Laplacian equations ⋮ Unnamed Item ⋮ Asymptotically linear problems driven by fractional Laplacian operators ⋮ Resonant problems for fractional Laplacian ⋮ Multiple Solutions for an Eigenvalue Problem Involving Non-local Elliptic p-Laplacian Operators ⋮ Nonlinear fractional equations with supercritical growth ⋮ Periodic solutions for a fractional asymptotically linear problem ⋮ Nontrivial solutions for the fractional Laplacian problems without asymptotic limits near both infinity and zero ⋮ Two weak solutions for perturbed non-local fractional equations ⋮ Unnamed Item ⋮ A bifurcation result for non-local fractional equations ⋮ Multiplicity of solutions for a class of superlinear non-local fractional equations ⋮ Applications of monotone operators to a class of fractional Laplacian equation ⋮ EXISTENCE OF A WEAK SOLUTION FOR A CLASS OF FRACTIONAL LAPLACIAN EQUATIONS

Cites Work

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• Variational methods for non-local operators of elliptic type
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